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Finding the Fourth Proportional to 2,574.76, 3,843.07 and 2,512.60

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Solution

The fourth proportional to 2,574.76, 3,843.07 and 2,512.60 is: 3,750.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.76 : 3,843.07 = 2,512.60 : x
  2. Step 2: Convert to fraction form
    2,574.76/3,843.07 = 2,512.60/x
  3. Step 3: Cross multiply
    2,574.76x = 3,843.07 × 2,512.60
  4. Step 4: Simplify right side
    2,574.76x = 9,656,097.68
  5. Step 5: Solve for x
    x = 9,656,097.68/2,574.76
  6. Step 6: Final answer
    x = 3,750.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.